The complete hyperbolicity of cylindric billiards

Academic Article


  • The connected configuration space of a so-called cylindric billiard system is a flat torus minus finitely many spherical cylinders. The dynamical system describes the uniform motion of a point particle in this configuration space with specular reflections at the boundaries of the removed cylinders. It is proven here that under a certain geometric condition a cylindric billiard flow is completely hyperbolic. As a consequence, every hard ball system is completely hyperbolic.
  • Authors

    Published In

    Digital Object Identifier (doi)

    Author List

  • Simányi N
  • Start Page

  • 281
  • End Page

  • 302
  • Volume

  • 22
  • Issue

  • 1